3944264220 has 288 divisors, whose sum is σ = 13478879232. Its totient is φ = 962419968.

The previous prime is 3944264201. The next prime is 3944264243. The reversal of 3944264220 is 224624493.

3944264220 is a `hidden beast` number, since 3 + 9 + 4 + 4 + 2 + 642 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10298149 + ... + 10298531.

It is an arithmetic number, because the mean of its divisors is an integer number (46801664).

Almost surely, 2^3944264220 is an apocalyptic number.

3944264220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3944264220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739439616).

3944264220 is an abundant number, since it is smaller than the sum of its proper divisors (9534615012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3944264220 is a wasteful number, since it uses less digits than its factorization.

3944264220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3944264220 is about 62803.3774569489. The cubic root of 3944264220 is about 1579.9936201206.

The spelling of 3944264220 in words is "three billion, nine hundred forty-four million, two hundred sixty-four thousand, two hundred twenty".